Reasoning Aptitude

MATHEMATICAL AND COMPUTER OPERATIONS MCQs

Total Questions : 125

Page 1 of 13 pages
Question 1. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:'P@Q' means 'P is neither smaller than nor equal to Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is not greater than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.Statements: Z # N, F © N, F * KConclusions: I. K $ N   II. K @ Z
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer is Option B. -> if only conclusion II is true.

Z < N -- (i); F ≥ N -- (ii); F ≤ K -- (iii)Combining all, we get:K â‰¥ F â‰¥ N > Z => K â‰¥ N and K > Z.Hence, conclusion I (K = N) is not necessarily true but conclusion II (K > Z) is true.

Question 2. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:'P@Q' means 'P is neither smaller than nor equal to Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is not greater than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.Statements: J *M, M $ N, n # TConclusions: I. T @ J   II. T $ J
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer is Option A. -> if only conclusion I is true.

J ≤ M -- (i); M = N -- (ii); N < T -- (iii)Combining all, we get:J â‰¥ M = N < T => T > NHence, only conclusion I is true.

Question 3. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:'P@Q' means 'P is neither smaller than nor equal to Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is not greater than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.Statements: W © A, B * A, B @ MConclusions: I. B # W   II. W $ B
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer is Option C. -> if either conclusion I or II is true.

W ≥ A -- (i); B ≤ A -- (ii); B > M -- (iii)Combining all, we get;W â‰¥ A â‰¥ B > M => B  â‰¤ W=> B = WHence, either conclusion I or II is true.

Question 4. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:'P@Q' means 'P is neither smaller than nor equal to Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is not greater than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.Statements: D $ T, T © M, M # KConclusions: I. M $ D   II. D @ M
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer is Option C. -> if either conclusion I or II is true.

D = T -- (i); T ≥ M -- (ii); M < K -- (iii)Combining (i) and (ii), we get;D = T â‰¥ M => D â‰¥ M => D = M or D > MHence, either conclusion I (M = D) or conclusion II (D > M) is true.

Question 5. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:'P@Q' means 'P is neither smaller than nor equal to Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is not greater than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.Statements: V * F, F @ R, R © GConclusions: I. G # V   II. G @ V
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer is Option D. -> if neither conclusion I nor II is true.

V ≤ F -- (i); F > R -- (ii); R ≥ G -- (iii)Combining (ii) and (iii), we get F > R â‰¥ G -- (iv)Comparing (i) and (iv), we can't get

Question 6. In these questions, certain symbols have been used to indicate relationships between elements follows:'A*B' means 'A is either equal to or greater than B'.'A$B' means 'A is equal to B'.'A£B' means 'A is either equal to or smaller than B'.'A&B' means 'A is smaller than B'.'A@B' means 'A is greater than B'.Statements: S * K, T & K, K * BConclusions: I. S $ B    II. S @ B
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer is Option C. -> if either conclusion I or II is true.

S ≥ K -- (i); T < K -- (ii); K ≥ B -- (iii)Combining (i) and (iii), we get:S â‰¥ K â‰¥ B. Hence, S > B or S = B. Therefore either conclusion I or II is true.

Question 7. In these questions, certain symbols have been used to indicate relationships between elements follows:'A*B' means 'A is either equal to or greater than B'.'A$B' means 'A is equal to B'.'A£B' means 'A is either equal to or smaller than B'.'A&B' means 'A is smaller than B'.'A@B' means 'A is greater than B'.Statements: Y $ Z, H $ D, Z * DConclusions: 1. D £ Y   II. H £ Z
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer is Option E. -> if both the conclusions I and II are true.

Combining all three statements, we get Y = Z ≥ D = H. Therefore D ≤ Y and H ≤ Z are true.

Question 8. In these questions, certain symbols have been used to indicate relationships between elements follows:'A*B' means 'A is either equal to or greater than B'.'A$B' means 'A is equal to B'.'A£B' means 'A is either equal to or smaller than B'.'A&B' means 'A is smaller than B'.'A@B' means 'A is greater than B'.Statements: M @ N, P @ R, P & NConclusions: I. P £ M   II. R & N
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer is Option B. -> if only conclusion II is true.

Combining all the three statements together, we get M > N > P > R. Therefore P ≤ M is not true, but R < N is true.

Question 9. In these questions, certain symbols have been used to indicate relationships between elements follows:'A*B' means 'A is either equal to or greater than B'.'A$B' means 'A is equal to B'.'A£B' means 'A is either equal to or smaller than B'.'A&B' means 'A is smaller than B'.'A@B' means 'A is greater than B'.Statements: T & K, K * B, S * KConclusions: I. B * T   II. S £ T
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer is Option D. -> if neither conclusion I nor II is true.

Combining I and III, we get S ≥ K > T. Therefore S ≤ T is not true. We have no information about the relationship between B and T.

Question 10. In these questions, certain symbols have been used to indicate relationships between elements follows:'A*B' means 'A is either equal to or greater than B'.'A$B' means 'A is equal to B'.'A£B' means 'A is either equal to or smaller than B'.'A&B' means 'A is smaller than B'.'A@B' means 'A is greater than B'.Statements: P @ R, M @ N, P & NConclusions: I. N @ R   II. P & M
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer is Option E. -> if both the conclusions I and II are true.

Combining all the three statements, we get M > N > P > R. Therefore N > R and P < M are true.